A4s
55.52%
Wins 55.26%, ties 0.52%
76s
44.48%
Wins 44.22%, ties 0.52%
A4s against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A4s | 55.263 | 0.517 | 44.220 | 55.521 |
| 76s | 44.220 | 0.517 | 55.263 | 44.479 |
Both hands are suited hands: A4s and 76s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A4s is ahead, but 76s is far from dead: it takes 442 of every 1,000 deals outright. Of every 100 boards, about 0.52 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, A4s is number 35 of the 169 starting hands and 76s is number 115.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A4s | 15,140,000 | 142,000 | 12,115,000 |
| 76s | 12,115,000 | 142,000 | 15,140,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A4s | 1.248 | 1.810 | 2.261 | 0.801 |
| 76s | 0.801 | 2.261 | 1.810 | 1.248 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures A4s' equity moves by 27.10 points, from 34.48% on low rainbow flops (nine high or lower) to 61.58% on paired flops. The lead reverses on low rainbow flops (nine high or lower): there 76s is the favorite even though A4s is ahead overall.
| Flop | Share of flops | A4s wins | Ties | 76s wins | A4s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 58.897 | 0.228 | 40.875 | 59.011 |
| Rainbow, nine or lower | 5.689 | 34.168 | 0.618 | 65.214 | 34.477 |
| Two-tone | 46.727 | 54.098 | 0.272 | 45.630 | 54.234 |
| Monotone | 5.273 | 51.581 | 3.440 | 44.979 | 53.301 |
| Paired | 17.091 | 61.241 | 0.678 | 38.081 | 61.580 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 59.03% for A4s and 45.37% for 76s. This opponent changes them by -3.51 and -0.89 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A4s, all flops | 55.521 | 59.034 | -3.513 | 0.94049 |
| A4s, rainbow, ten or higher | 59.011 | 59.034 | -0.023 | 0.99961 |
| A4s, rainbow, nine or lower | 34.477 | 59.034 | -24.557 | 0.58402 |
| A4s, two-tone | 54.234 | 59.034 | -4.800 | 0.91869 |
| A4s, monotone | 53.301 | 59.034 | -5.733 | 0.90289 |
| A4s, paired | 61.580 | 59.034 | +2.546 | 1.04313 |
| 76s, all flops | 44.479 | 45.372 | -0.893 | 0.98032 |
| 76s, rainbow, ten or higher | 40.989 | 45.372 | -4.383 | 0.90340 |
| 76s, rainbow, nine or lower | 65.523 | 45.372 | +20.151 | 1.44413 |
| 76s, two-tone | 45.766 | 45.372 | +0.394 | 1.00868 |
| 76s, monotone | 46.699 | 45.372 | +1.327 | 1.02925 |
| 76s, paired | 38.420 | 45.372 | -6.952 | 0.84678 |
Does a shared suit matter?
When the hands share a suit, A4s holds 57.23%; when they do not, it holds 54.95%. A4s does better with a shared suit, by 2.28 points.
| Deals | Specific deals | Share of deals | A4s wins | Ties | 76s wins | A4s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 56.934 | 0.595 | 42.471 | 57.232 |
| No shared suit | 12 | 75.00 | 54.706 | 0.490 | 44.804 | 54.951 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
With $100 from each side, the $200 pot is split on average as $111.04 for A4s and $88.96 for 76s; the first side gains $11.04 per all-in and the second gives up $11.04.
Scaled to 1,000 deals, that is roughly 553 wins for A4s, 442 for 76s and 5 chopped pots.
The same matchup from the other side
The mirror image, 76s against A4s, is 44.48% to 55.52%, and its address redirects to this page.
Keep exploring
Try As4s against 7h6h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of A4s against 76s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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